Writing the sum of two rational functions as a single rational function.Write as a single...

bandikizaui

bandikizaui

Answered

2022-07-07

Writing the sum of two rational functions as a single rational function.
Write as a single fraction:
2 x x 1 x x + 1
Please can somebody talk me through this question as I don't understand how to get a common denominator. Thank you.

Answer & Explanation

furniranizq

furniranizq

Expert

2022-07-08Added 20 answers

The key thing to note is that x + 1 x + 1 = x 1 x 1 = 1 so we can multiply by each of these forms without changing the value (a little care may be needed about the denominator being zero, but you can catch up with that at the end).
So rewrite as
2 x x 1 x + 1 x + 1 x x + 1 x 1 x 1
Note that like normal rational fractions we've chosen the forms of fraction which make the denominators equal. Now simplify numerator and denominator.
hryggcx

hryggcx

Expert

2022-07-09Added 1 answers

it is 2 x x 1 x x + 1 ? we get 2 x ( x + 1 ) x ( x 1 ) ( x 1 ) ( x + 1 ) = x ( x + 3 ) ( x 1 ) ( x + 1 )

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?